105344326131 has 8 divisors (see below), whose sum is σ = 153228110784. Its totient is φ = 63845046120.

The previous prime is 105344326097. The next prime is 105344326177. The reversal of 105344326131 is 131623443501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105344326131 - 2¹⁴ = 105344309747 is a prime.

It is a super-2 number, since 2×105344326131² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 3192252307 = 105344326131 / (1 + 0 + 5 + 3 + 4 + 4 + 3 + 2 + 6 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 105344326092 and 105344326101.

It is not an unprimeable number, because it can be changed into a prime (105344326931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1596126121 + ... + 1596126186.

It is an arithmetic number, because the mean of its divisors is an integer number (19153513848).

Almost surely, 2^105344326131 is an apocalyptic number.

105344326131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105344326131 is a deficient number, since it is larger than the sum of its proper divisors (47883784653).

105344326131 is a wasteful number, since it uses less digits than its factorization.

105344326131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192252321.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 105344326131 its reverse (131623443501), we get a palindrome (236967769632).

The spelling of 105344326131 in words is "one hundred five billion, three hundred forty-four million, three hundred twenty-six thousand, one hundred thirty-one".